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Gravitational wave (GW) memory, a permanent distortion of the space-time metric, is anticipated during the acceleration of relativistic jets in gamma-ray bursts (GRBs). While the precise mechanism behind GRBs is not yet fully understood,…

High Energy Astrophysical Phenomena · Physics 2025-09-23 Yusuke Sakai , Ryo Yamazaki , Yoshihiro Okutani , Satsuki Ueno , Norichika Sago , Marco Meyer-Conde , Hirotaka Takahashi

Circularly polarized gravitational sandwich waves exhibit, as do their linearly polarized counterparts, the Velocity Memory Effect: freely falling test particles in the flat after-zone fly apart along straight lines with constant velocity.…

General Relativity and Quantum Cosmology · Physics 2018-05-23 P. -M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic neutrino background (C$\nu$B), and gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Zhoujian Cao , Xiaokai He , Zhi-Chao Zhao

Gravitational memory effects are predictions of general relativity that are characterized by an observable effect that persists after the passage of gravitational waves. In recent years, they have garnered particular interest, both due to…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Alexander M. Grant , Keefe Mitman

We revisit the issue of memory effects, i.e. effects giving rise to a net cumulative change of the configuration of test particles, using a toy model describing the emission of radiation by a compact source and focusing on the scalar, hence…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Hebertt Leandro , Riccardo Sturani

The memory effect is known to introduce a permanent displacement in the gravitational wave (GW) detectors after the passage of a GW signal. While the linear memory adheres to the source properties, the non-linear memory is a secondary…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Samik Dutta , Ankur Chhabra , Aritra Banerjee , Sajal Mukherjee , Subhendra Mohanty

We extend recent theoretical results on the propagation of linear gravitational waves (GWs), including their associated memories, in spatially flat Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) universes, for all spacetime dimensions…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Yi-Zen Chu

It is shown that in the passage of a short burst of non-linear plane gravitational wave, the kinetic energy of free particles may either decrease or increase. The decreasing or increasing of the kinetic energy depends crucially on the…

General Relativity and Quantum Cosmology · Physics 2018-09-05 J. W. Maluf , J. F. da Rocha-Neto , S. C. Ulhoa , F. L. Carneiro

Gravitational-wave memory effects are lasting changes in the strain and its time integrals. They can be computed in asymptotically flat spacetimes using the conservation and evolution equations in the Bondi-Sachs framework. Modified…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Shammi Tahura , David A. Nichols , Kent Yagi

The usual gravitational wave memory effect can be understood as a change in the separation of two initially comoving observers due to a burst of gravitational waves. Over the past few decades, a wide variety of other, "persistent"…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Alexander M. Grant

In general relativity, gravitational memory describes the lasting change in the separation and relative velocity of freely falling detectors after the passage of gravitational waves (GWs). In this paper, we elucidate the relation between…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Valerio De Luca , Justin Khoury , Sam S. C. Wong

These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

In this paper we introduce a new approach to the study of the effects that an impulsive wave, containing a mixture of material sources and gravitational waves, has on a geodesic congruence that traverses it. We find that the effect of the…

High Energy Physics - Theory · Physics 2019-01-30 Martin O'Loughlin , Hovhannes Demirchian

Numerical relativists can now produce gravitational waveforms with memory effects routinely and accurately. The gravitational-wave memory effect contains very low-frequency components, including a persistent offset. The presence of these…

We discuss in some detail the interaction of classical particles, including the scattering and memory effect, with a pulse of gravitational plane wave. The key point is the conformal symmetry of gravitational plane waves. In particular, we…

General Relativity and Quantum Cosmology · Physics 2018-06-26 K. Andrzejewski , S. Prencel

We examine gravitational wave memory in the case where sources and detector are in an expanding cosmology. For simplicity, we treat the case where the cosmology is de Sitter spacetime, and discuss the possibility of generalizing our results…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

In this paper, we investigate gravitational waves beyond the linear approximation, focusing on second-order contributions sourced by linearized waves in the transverse-traceless (TT) gauge. A general spacetime metric is constructed, and…

General Relativity and Quantum Cosmology · Physics 2025-05-06 M. A. Misyura

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Lydia Bieri , David Garfinkle

Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

Gravitational memory effects and the BMS freedoms exhibited at future null infinity have recently been resolved and utilized in numerical relativity simulations. With this, gravitational wave models and our understanding of the fundamental…